Optimal Service Control in a Discrete Time Service Facility System with Inventory
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 6
Abstract
In this article we considered a service facility system with inventory maintained for service completion. Number of customers arrival and service completion follow a general distributions f (.)and g (.) respectively. Assume that the arriving customers enter the server are else if it inside join the queue. Demands occurs throughout the period and (0,M) policy is adopted for replenishing of inventory with zero lead time. At each decision epoch, the controller observes the number of customers in the system and selects the service rate from the set of probability distributions with service rate parameter. The problem is formulated as a MDP and policy iteration algorithm is used to get optimal policy. Numerical examples are provided to enhance the insight into the problem domain. And simulations are studied to compare the system with general queuing system.
Authors and Affiliations
Selvakumar C. , Elango C.
Keywords
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